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Advances in Mechanics and Mathematics

Advances in Mechanics and Mathematics
Author: David Yang Gao
Publisher: Springer Science & Business Media
Total Pages: 329
Release: 2013-12-01
Genre: Science
ISBN: 1461302471

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As any human activity needs goals, mathematical research needs problems -David Hilbert Mechanics is the paradise of mathematical sciences -Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards.


Plasticity and Geotechnics

Plasticity and Geotechnics
Author: Hai-Sui Yu
Publisher: Springer Science & Business Media
Total Pages: 541
Release: 2007-01-11
Genre: Science
ISBN: 0387335994

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Plasticity and Geotechnics is the first attempt to summarize and present in a single volume the major achievements in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. The book emerges from the author’s belief that there is an urgent need for the geotechnical and solid mechanics community to have a unified presentation of plasticity theory and its application to geotechnical engineering.


Advances in Applied Mathematics and Global Optimization

Advances in Applied Mathematics and Global Optimization
Author: David Y. Gao
Publisher: Springer Science & Business Media
Total Pages: 520
Release: 2009-04-09
Genre: Mathematics
ISBN: 0387757147

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The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.


Mechanics of Generalized Continua

Mechanics of Generalized Continua
Author: Holm Altenbach
Publisher: Springer Science & Business Media
Total Pages: 355
Release: 2011-04-02
Genre: Technology & Engineering
ISBN: 364219219X

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This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.


An Introduction to the Mathematical Theory of Dynamic Materials

An Introduction to the Mathematical Theory of Dynamic Materials
Author: Konstantin A. Lurie
Publisher: Springer Science & Business Media
Total Pages: 188
Release: 2007-05-15
Genre: Mathematics
ISBN: 0387382801

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This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.


Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
Total Pages: 530
Release: 2013-04-09
Genre: Mathematics
ISBN: 1475720637

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This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.


Lectures on Quantum Mechanics for Mathematics Students

Lectures on Quantum Mechanics for Mathematics Students
Author: L. D. Faddeev
Publisher: American Mathematical Soc.
Total Pages: 250
Release: 2009
Genre: Science
ISBN: 082184699X

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Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.


Advanced Mechanics

Advanced Mechanics
Author: S. G. Rajeev
Publisher: Oxford University Press, USA
Total Pages: 180
Release: 2013-07-25
Genre: Mathematics
ISBN: 0199670854

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This book can be used as a textbook for a graduate course on mechanics or for self-study. There are a variety of problems ranging from exercises that verify parts of the text, moderately difficult calculations, to suggested research projects. Connections to other disciplines of mathematics and physics are emphasized.


Geometric Phases in Classical and Quantum Mechanics

Geometric Phases in Classical and Quantum Mechanics
Author: Dariusz Chruscinski
Publisher: Springer Science & Business Media
Total Pages: 337
Release: 2012-12-06
Genre: Mathematics
ISBN: 0817681760

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Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.